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Finding the Fourth Proportional to 16,024.80, 24,008.40 and 9,861.60

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Solution

The fourth proportional to 16,024.80, 24,008.40 and 9,861.60 is: 14,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.80 : 24,008.40 = 9,861.60 : x
  2. Step 2: Convert to fraction form
    16,024.80/24,008.40 = 9,861.60/x
  3. Step 3: Cross multiply
    16,024.80x = 24,008.40 × 9,861.60
  4. Step 4: Simplify right side
    16,024.80x = 236,761,237.44
  5. Step 5: Solve for x
    x = 236,761,237.44/16,024.80
  6. Step 6: Final answer
    x = 14,774.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.